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21114112132323 = 3371728136736367
BaseRepresentation
bin1001100110100000000110…
…01001110100010011100011
32202202111012202222212121000
410303100003021310103203
510231413200201213243
6112523404511403043
74306305244630230
oct463200311642343
982674182885530
1021114112132323
116800498944a01
122450081523483
13ba208a99b962
1452dcdda6a787
1526935e7195d3
hex1334032744e3

21114112132323 has 128 divisors (see below), whose sum is σ = 38002642698240. Its totient is φ = 11310220615680.

The previous prime is 21114112132319. The next prime is 21114112132369. The reversal of 21114112132323 is 32323121141112.

21114112132323 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 411 + 2 + 13 + 232 + 3 = 666.

It is not a de Polignac number, because 21114112132323 - 22 = 21114112132319 is a prime.

It is a super-2 number, since 2×211141121323232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21114112132303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3316175886 + ... + 3316182252.

It is an arithmetic number, because the mean of its divisors is an integer number (296895646080).

Almost surely, 221114112132323 is an apocalyptic number.

21114112132323 is a deficient number, since it is larger than the sum of its proper divisors (16888530565917).

21114112132323 is a wasteful number, since it uses less digits than its factorization.

21114112132323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10354 (or 10348 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 21114112132323 its reverse (32323121141112), we get a palindrome (53437233273435).

The spelling of 21114112132323 in words is "twenty-one trillion, one hundred fourteen billion, one hundred twelve million, one hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 281 357 459 843 1071 1967 2529 3213 3673 4777 5901 6367 7587 11019 14331 17703 19101 25711 33057 33439 42993 44569 53109 57303 62441 77133 99171 100317 108239 128979 133707 171909 187323 231399 300951 324717 401121 437087 561969 694197 757673 902853 974151 1032113 1203363 1311261 1685907 1789127 2273019 2922453 3096339 3933783 5367381 6819057 7224791 9289017 11801349 12523889 16102143 17545921 20457171 21674373 23385991 27867051 30415159 37571667 48306429 52637763 65023119 70157973 91245477 112715001 122821447 157913289 163701937 195069357 210473919 212906113 273736431 338145003 368464341 397561847 473739867 491105811 631421757 638718339 821209293 1105393023 1192685541 1473317433 1916155017 2782932929 3316179069 3578056623 4419952299 5748465051 6571463471 8348798787 10734169869 19714390413 25046396361 46000244297 59143171239 75139189083 111714879007 138000732891 177429513717 335144637021 414002198673 782004153049 1005433911063 1242006596019 2346012459147 3016301733189 7038037377441 21114112132323